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1.发明授权
公开(公告)号：US5353231A
公开(公告)日：1994-10-04
申请号：US180504
申请日：1994-01-12
申请人： Aki Sasaki , Izumi Mikami , Kouki Asari
发明人： Aki Sasaki , Izumi Mikami , Kouki Asari
CPC分类号： G02B7/183 , G02B26/06 , G02B5/08 , Y10S359/90
摘要： The present invention relates to a method of fabricating a reflection mirror formed by sticking together a plurality of mirror segments for use on a reflecting telescope or the like. The mirror segments are arranged so that the thermal deformation of the reflecting mirror is limited to the least possible extent. The method comprises steps of: setting a plurality of sample points on the mirror surface; developing a matrix connecting a coefficient of the thermal expansion (CTE) vector having the deviations of the respective CTEs of the mirror segments from the average CTEs obtained by averaging the CTEs of the mirror segments as components corresponding to the respective positions of the mirror segments with the displacements of the sample points; selecting a vector making the sum of squares of the displacements a minimum among those obtained by rearranging the components of the CTE vector; and arranging the mirror segments according to the positions of the components of the selected vector.
摘要翻译： 本发明涉及一种制造反射镜的方法，该反射镜通过将多个镜片段粘合在一起用于反射望远镜等而形成。 反射镜部分被布置成使反射镜的热变形受到最小程度的限制。 该方法包括以下步骤：在镜面上设置多个采样点; 开发一个矩阵，其将具有反射镜段的各个CTE的偏差的热膨胀系数（CTE）矢量与通过将反射镜段的CTE平均化获得的平均CTE连接成对应于反射镜段的相应位置的分量， 采样点的位移; 通过重新排列CTE矢量的分量而获得的矢量中选择矢量平方和的最小值; 以及根据所选向量的分量的位置来布置镜像段。
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公开(公告)号：US5423896A
公开(公告)日：1995-06-13
申请号：US228958
申请日：1994-04-18
申请人： Kenichi Nishiguchi , Aki Sasaki , Izumi Mikami , Kouki Asari
发明人： Kenichi Nishiguchi , Aki Sasaki , Izumi Mikami , Kouki Asari
摘要： A method of fabricating a reflecting mirror, wherein mirror segments are fused together thereby composing the reflecting mirror comprising, formulating square sums of displacements at a plurality of sampling points on a mirror surface of the reflecting mirror as a function of a thermal expansion coefficient-vector having components of deviations of thermal expansion coefficients of the respective mirror segments from the average thermal expansion coefficients of all the mirror segments, positions of the components corresponding to arranging positions of the respective mirror segments; generating a stochastic process wherein the smaller the square sum of the displacement of the thermal expansion coefficient vector, the larger the probability whereby the thermal expansion coefficient vector appears, by a computer using random numbers; selecting the thermal expansion coefficient vector minimizing the square sum of the displacement from the appeared thermal expansion coefficient vectors; and arranging and fusing together the mirror segments in accordance with the components thereof.
摘要翻译： 一种制造反射镜的方法，其中将镜片段熔合在一起，从而构成反射镜，其包括：作为热膨胀系数向量的函数，在反射镜的反射镜表面上的多个采样点处形成平移位移量 具有各个反射镜段的热膨胀系数的偏差与所有反射镜段的平均热膨胀系数的分量的组成部分，对应于各个反射镜段的排列位置的部件的位置; 产生随机过程，其中使用随机数的计算机使热膨胀系数向量的位移的平方和越小，出现热膨胀系数向量的概率越大; 选择热膨胀系数向量，使得从所出现的热膨胀系数向量中最小化位移的平方和; 并根据其组件将镜片段布置和融合在一起。
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公开(公告)号：US5452136A
公开(公告)日：1995-09-19
申请号：US218575
申请日：1994-03-28
申请人： Kenichi Nishiguchi , Aki Sasaki , Izumi Mikami , Kouki Asari
发明人： Kenichi Nishiguchi , Aki Sasaki , Izumi Mikami , Kouki Asari
摘要： A reflecting mirror, wherein mirror segments are fused together thereby composing the reflecting mirror by formulating square sums of displacements at a plurality of sampling points on a mirror surface of the reflecting mirror as a function of a thermal expansion coefficient vector having components of deviations of thermal expansion coefficients of the respective mirror segments from the average thermal expansion coefficients of all the mirror segments, positions of the components corresponding to arranging positions of the respective mirror segments; generating a stochastic process wherein the smaller the square sum of the displacement of the thermal expansion coefficient vector, the larger the probability whereby the thermal expansion coefficient vector appears, by a computer using random numbers; selecting the thermal expansion coefficient vector minimizing the square sum of the displacement from the appeared thermal expansion coefficient vectors; and arranging and fusing together the mirror segments in accordance with the components thereof.
摘要翻译： 一种反射镜，其中镜片段熔合在一起，由此通过在反射镜的镜面上的多个采样点处配置平方和位移量作为热膨胀系数向量的函数来构成反射镜，该热膨胀系数矢量具有热分量偏差 各镜片段的平均热膨胀系数的扩展系数，与各镜片段的布置位置相对应的部件的位置; 产生随机过程，其中使用随机数的计算机使热膨胀系数向量的位移的平方和越小，出现热膨胀系数向量的概率越大; 选择热膨胀系数向量，使得从所出现的热膨胀系数向量中最小化位移的平方和; 并根据其组件将镜片段布置和融合在一起。
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公开(公告)号：US5798878A
公开(公告)日：1998-08-25
申请号：US747492
申请日：1996-11-12
申请人： Kouki Asari , Hiromichi Mori , Eiichi Sakai
发明人： Kouki Asari , Hiromichi Mori , Eiichi Sakai
IPC分类号： G02B23/02 , G01J9/00 , G02B5/10 , G02B7/18 , G02B7/198 , G02B26/06 , G02B5/08 , G02B7/182 , G02B7/188 , G02B7/192
摘要： The control of a mirror's shape, such as for use in large reflecting telescopes, is associated with discrete points so as to avoid incurring constraints and exerting undesirable stress on the reflecting mirror through control unrelated to the mechanical characteristics. Thus, a reflecting mirror is approximated by a non-constrained circular plate having a similar mechanical structure, and an eigenfunction value arithmetic unit calculates values of Bessel-Fourier functions which are eigenfunctions of free vibrations of the circular plate. Using these function values, a mode displacement identification unit approximates a required mirror displacement, which is necessary to correct for wavefront distortion, with a linear combination up to a prescribed mode of vibration of the eigenfunction. A support mechanism command unit controls an actuator so that the value of the linear combination function equals the amount of mirror displacement at a position supported by a reflecting mirror support mechanism.
摘要翻译： 反射镜的形状的控制，例如用于大型反射望远镜，与离散点相关联，以避免产生约束并通过与机械特性无关的控制在反射镜上施加不期望的应力。 因此，反射镜由具有类似机械结构的非约束圆板近似，本征函数值运算单元计算作为圆板自由振动的本征函数的贝塞尔 - 傅里叶函数的值。 使用这些功能值，模式位移识别单元近似所需的镜像位移，其是校正波前失真所必需的镜像位移，具有直到本征函数的规定振动模式的线性组合。 支撑机构指令单元控制致动器，使得线性组合功能的值等于由反射镜支撑机构支撑的位置处的镜像位移量。
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